Search a number
-
+
340012400 = 24527139341
BaseRepresentation
bin10100010001000…
…010110101110000
3212200210102022212
4110101002311300
51144020344100
653423351252
711266025540
oct2421026560
9780712285
10340012400
11164a23392
1295a52528
135559a190
143322b320
151ecb4635
hex14442d70

340012400 has 120 divisors (see below), whose sum is σ = 1005498144. Its totient is φ = 107596800.

The previous prime is 340012357. The next prime is 340012417. The reversal of 340012400 is 4210043.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31730 + ... + 41070.

Almost surely, 2340012400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502749072).

340012400 is an abundant number, since it is smaller than the sum of its proper divisors (665485744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340012400 is a wasteful number, since it uses less digits than its factorization.

340012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9379 (or 9368 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 340012400 is about 18439.4251537297. The cubic root of 340012400 is about 697.9616895091.

Adding to 340012400 its reverse (4210043), we get a palindrome (344222443).

The spelling of 340012400 in words is "three hundred forty million, twelve thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 9341 18200 18682 36400 37364 46705 65387 74728 93410 121433 130774 149456 186820 233525 242866 261548 326935 373640 467050 485732 523096 607165 653870 747280 850031 934100 971464 1046192 1214330 1307740 1634675 1700062 1868200 1942928 2428660 2615480 3035825 3269350 3400124 3736400 4250155 4857320 5230960 6071650 6538700 6800248 8500310 9714640 12143300 13077400 13600496 17000620 21250775 24286600 26154800 34001240 42501550 48573200 68002480 85003100 170006200 340012400